Long-range Heisenberg models in quasi-periodically driven crystals of trapped ions

Autor:	Bermudez, A., Tagliacozzo, L., Sierra, G., Richerme, P.
Rok vydání:	2016
Předmět:	Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics Condensed Matter - Quantum Gases Condensed Matter - Strongly Correlated Electrons
Zdroj:	Phys. Rev. B 95, 024431 (2017)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.95.024431
Popis:	We introduce a theoretical scheme for the analog quantum simulation of long-range XYZ models using current trapped-ion technology. In order to achieve fully-tunable Heisenberg-type interactions, our proposal requires a state-dependent dipole force along a single vibrational axis, together with a combination of standard resonant and detuned carrier drivings. We discuss how this quantum simulator could explore the effect of long-range interactions on the phase diagram by combining an adiabatic protocol with the quasi-periodic drivings and test the validity of our scheme numerically. At the isotropic Heisenberg point, we show that the long-range Hamiltonian can be mapped onto a non-linear sigma model with a topological term that is responsible for its low-energy properties, and we benchmark our predictions with Matrix-Product-State numerical simulations. Comment: closer to published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.03337 Zobrazit plný text záznamu View this record from Arxiv